2101121012211 has 32 divisors (see below), whose sum is σ = 3086681256960. Its totient is φ = 1263469169664.

The previous prime is 2101121012197. The next prime is 2101121012233. The reversal of 2101121012211 is 1122101211012.

It is a happy number.

It is not a de Polignac number, because 2101121012211 - 2⁹ = 2101121011699 is a prime.

It is a super-2 number, since 2×2101121012211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101121014211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216405 + ... + 3814118.

It is an arithmetic number, because the mean of its divisors is an integer number (96458789280).

Almost surely, 2^{2101121012211} is an apocalyptic number.

2101121012211 is a deficient number, since it is larger than the sum of its proper divisors (985560244749).

2101121012211 is a wasteful number, since it uses less digits than its factorization.

2101121012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030715.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2101121012211 its reverse (1122101211012), we get a palindrome (3223222223223).

The spelling of 2101121012211 in words is "two trillion, one hundred one billion, one hundred twenty-one million, twelve thousand, two hundred eleven".